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The phrase "a second set" is correct and usable in written English.
You can use it when referring to an additional collection or group of items that is distinct from the first set.
Example: "After reviewing the initial results, we decided to conduct a second set of experiments to confirm our findings."
Alternatives: "another group" or "a subsequent collection".
Exact(60)
A second set modified pulsatile flow VAD settings with the goal to optimize cardiac output (CO).
Then try adding a second set.
A second set features Electric Masada exclusively.
Advantage Li, a second set point.
Model validation was performed using a second set of data.
A second set of deals is drawing scrutiny in Japan.
Then, three days later, a second set of wiretaps surfaced.
His arteries looked like a second set of bones.
A second set of experiments involved two pilfering birds.
You might want a second set if it does.
She was hoping to buy a second set of sheets.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com